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Finding the Fourth Proportional to 10,073.66, 15,108.20 and 3,831.46

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Solution

The fourth proportional to 10,073.66, 15,108.20 and 3,831.46 is: 5,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.66 : 15,108.20 = 3,831.46 : x
  2. Step 2: Convert to fraction form
    10,073.66/15,108.20 = 3,831.46/x
  3. Step 3: Cross multiply
    10,073.66x = 15,108.20 × 3,831.46
  4. Step 4: Simplify right side
    10,073.66x = 57,886,463.97
  5. Step 5: Solve for x
    x = 57,886,463.97/10,073.66
  6. Step 6: Final answer
    x = 5,746.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.